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Finding the Fourth Proportional to 278,551.81, 384,425.29 and 157,714.39

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Solution

The fourth proportional to 278,551.81, 384,425.29 and 157,714.39 is: 217,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,551.81 : 384,425.29 = 157,714.39 : x
  2. Step 2: Convert to fraction form
    278,551.81/384,425.29 = 157,714.39/x
  3. Step 3: Cross multiply
    278,551.81x = 384,425.29 × 157,714.39
  4. Step 4: Simplify right side
    278,551.81x = 60,629,400,112.92
  5. Step 5: Solve for x
    x = 60,629,400,112.92/278,551.81
  6. Step 6: Final answer
    x = 217,659.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.